Fixed point theorems and Cauchy sequences in fuzzy metric spaces

Authors:
R. Vasuki;P. Veeramani
Affiliations:
Department of Mathematics, SIVET College, Gowrivakkam, Chennai, India;Department of Mathematics, Indian Institute of Technology, Chennai 600 036, India
Venue:
Fuzzy Sets and Systems - Non-additive measures and random processes
Year:
2003

Citing 5
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Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

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Abstract

Grabiec proved an analogue of Banach contraction theorem in fuzzy metric spaces by using a fuzzy version of Cauchy sequence. Some authors continued their work in the same direction of Grabiec. Our aim in this paper is to discuss the difference between two different type of Cauchy sequences used in the literature to prove fixed point theorems in fuzzy metric spaces.